FOURTH-ORDER, CONSERVATIVE, CONTROL-VOLUME FINITE DIFFERENCES FOR BOUNDARY CELLS

REFERENCES

• Browning , G. L. and Kreiss , H.-O. 1989 . Comparison of Numerical Methods for the Calculation of Three-Dimensional Turbulence . Math. Comput. , 52 : 369 – 388 .
   Web of Science ®Google Scholar
• Sanderson , B. and Brassington , G. 2002 . Fourth- and Fifth-Order Finite-Difference Methods Applied to a Control-Volume Ocean Model . J. Atmos. Oceanic Technol. , 19 : 1424 – 1441 .
   Web of Science ®Google Scholar
• Sanderson , B. G. 1998 . Order and Resolution for Computational Ocean Dynamics . J. Phys. Oceanogr. , 28 : 1271 – 1286 .
   Web of Science ®Google Scholar
• Brassington , G. B. 2000 . Optimal Numerical Strategy for Unsteady Natural Convection in Two and Three Dimensions . ANZIAM J. , 42 ( E ) : C291 – C316 .
   Google Scholar
• Brassington , G. B. , Lee , M. and Patterson , J. C. Observations of a Stratified Laminar Intrusion . Proc. 7th Heat and Mass Transfer Australasia . Townsville, Australia. pp. 45 – 51 . Cottesloe, , Australia : Chalkface Press .
   Google Scholar
• Brassington , G. B. , Patterson , J. C. , Lee , M. and New , A . 2002 . Algorithm for Analyzing Shadowgraph Images . J. Flow Visual Image Process. , 9 : 25 – 51 .
   Google Scholar
• Berezin , I. S. and Zhidkov , N. P. 1965 . Computing Methods , Edited by: Bunn , O. M. 210 – 214 . Oxford : Pergamon Press .
   Google Scholar
• Leonard , B. P. , Lock , A. P. , Macvean , M. K. and The , NIRVANA . 1995 . Scheme Applied to One-Dimensional Advection . Int. J. Numer. Meth. Heat Fluid Flow , 5 : 341 – 377 .
   Web of Science ®Google Scholar
• Morton , K. W. and Mayers , D. F. 1994 . Numerical Solution of Partial Differential Equations , Cambridge : Cambridge University Press . chap. 2
   Google Scholar
• Lorenz , E. N. 1971 . An N-Cycle Time-Differencing Scheme for Step-wise Numerical Integration . Mon. Wea. Rev. , 99 : 644 – 648 .
   Web of Science ®Google Scholar
• Incropera , F. P. and de Witt , D. P. 1985 . Fundamentals of Heat and Mass Transfer , 2d ed. , 202 – 203 . New York : Wiley .
   Google Scholar
• Abramowitz , M. and Stegun , I. A. 1965 . Handbook of Mathematical Function: With Formulas, Graphs, and Mathematical Tables , New York : Dover . chap. 7
   Google Scholar